Relativism and the Sociology of Mathematics: Remarks on Bloor, Flew, and Frege

Inquiry: An Interdisciplinary Journal of Philosophy 29 (1-4):439-450 (1986)
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Abstract

Antony Flew's ?A Strong Programme for the Sociology of Belief (Inquiry 25 {1982], 365?78) critically assesses the strong programme in the sociology of knowledge defended in David Bloor's Knowledge and Social Imagery. I argue that Flew's rejection of the epistemological relativism evident in Bloor's work begs the question against the relativist and ignores Bloor's focus on the social relativity of mathematical knowledge. Bloor attempts to establish such relativity via a sociological analysis of Frege's theory of number. But this analysis only succeeds if the rejection of an explanatory theory entails that there are reasonable grounds for the rejection of the set of propositions which that theory was intended to explain. I argue against such an entailment, and thus against Bloor's attempt to relativize mathematical knowledge

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Timm Triplett
University of New Hampshire, Durham

Citations of this work

Azande logic versus western logic?Timm Triplett - 1988 - British Journal for the Philosophy of Science 39 (3):361-366.
Alternative mathematics and the strong programme: Reply to Triplett.Richard C. Jennings - 1988 - Inquiry: An Interdisciplinary Journal of Philosophy 31 (1):93 – 101.
The sociology of scientific knowledge: Can we ever get it straight?Peter T. Manicas & Alan Rosenberg - 1988 - Journal for the Theory of Social Behaviour 18 (1):51–76.

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References found in this work

Philosophy and the Mirror of Nature.Richard Rorty - 1979 - Princeton University Press.
Ways of worldmaking.Nelson Goodman - 1978 - Hassocks [Eng.]: Harvester Press.
Knowledge and social imagery.David Bloor - 1976 - Chicago: University of Chicago Press.
The foundations of arithmetic: a logico-mathematical enquiry into the concept of number.Gottlob Frege - 1959 - Evanston, Ill.: Northwestern University Press. Edited by J. L. Austin.
Can Empirical Knowledge Have a Foundation?Laurence Bonjour - 1978 - American Philosophical Quarterly 15 (1):1-14.

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